The dynamics of an ion acting on two monochromatic obliquely propagating Alfvén waves  

作　　者：Limin YU Zhengmao SHENG Xianmei ZHANG Erbing XUE 虞立敏;盛正卯;张先梅;薛二兵(Department of Physics, East China University of Science and Technology;Department of Physics and Institute for Fusion Theory and Simulation, Zhejiang University)

机构地区：[1]Department of Physics, East China University of Science and Technology, Shanghai 200237, People＇s Republic of China [2]Department of Physics and Institute for Fusion Theory and Simulation, Zhejiang University, Haugzhou 310027, People＇s Republic of China

出　　处：《Plasma Science and Technology》2017年第7期12-25,共14页等离子体科学和技术（英文版）

基　　金：supported by National Natural Science Foundation of China under Grant Nos. 11075140, 11205060 and 11405058;the National Magnetic Confinement Fusion Science Program of China under Grant Nos. 2013GB106002 and 2015GB110005

摘　　要：The interaction between a magnetized ion and two monochromatic shear Alfvtn waves propagating obliquely to an ambient magnetic field is investigated both analytically and numerically. According to the Hamiltonian of this system, the invariant of motion at the lowest order and the half-island widths at the corresponding resonances are obtained analytically using the Lie transformation method. It is shown that these theoretical results agree with the numerical ones from the Poincare surface of section. The regular motions from the invariant and the transition to stochasticity due to resonance overlapping are demonstrated. Compared to the case of a single wave, there may be a lower stochastic threshold in the multiple-wave problem.The interaction between a magnetized ion and two monochromatic shear Alfvtn waves propagating obliquely to an ambient magnetic field is investigated both analytically and numerically. According to the Hamiltonian of this system, the invariant of motion at the lowest order and the half-island widths at the corresponding resonances are obtained analytically using the Lie transformation method. It is shown that these theoretical results agree with the numerical ones from the Poincare surface of section. The regular motions from the invariant and the transition to stochasticity due to resonance overlapping are demonstrated. Compared to the case of a single wave, there may be a lower stochastic threshold in the multiple-wave problem.

关 键 词：Alfven waves Lie transformation Poincare section stochastic heating 

分 类 号：O441.4[理学—电磁学]